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Finding the Third Proportional to 34,710 and 77,484

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Solution

The third proportional to 34,710 and 77,484 is: 172,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,710 : 77,484 = 77,484 : x
  2. Step 2: Convert to fraction form
    34,710/77,484 = 77,484/x
  3. Step 3: Cross multiply
    34,710x = 77,484 × 77,484
  4. Step 4: Simplify right side
    34,710x = 6,003,770,256
  5. Step 5: Solve for x
    x = 6,003,770,256/34,710
  6. Step 6: Final answer
    x = 172,969.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.